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Forerunning and Bridging in Dry and Saturated Fracturing Solids

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Current Trends and Open Problems in Computational Mechanics

Abstract

We investigate crack forerunning and bridging with numerical models on three different structures. Bridging is observed in a heterogeneous saturated lattice model in quasi-static conditions under fluid injection. A single episode of forerunning in a dry double beam in dynamics confirms that forerunning increases the overall crack tip advancement speed with respect to a steady-state behaviour and finally we show on a two-dimensional specimen that in presence of a fluid forerunning increases the overall advancement speed even more.

Our friendship started in the late 80ties. In 89 my former student, now Professor, Giorgio Zavarise visited Peter in Hanover and later in Darmstadt. In 97 our families met in front of Old Faithful in Yellowstone Park and my daughter Lorna visited Peter’s home in Hanover. We also had a common doctoral candidate Hong Wu Zhang from Dalian, now Professor. In 2005, thanks to the efforts of Peter and the late Professor Erwin Stein, I was awarded an honorary Doctorate in Engineering at the Leibniz University of Hanover.

—Bernhard Schrefler

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References

  1. Marder, M., & Cross, S. (1995). Origin of crack tip instabilities. Journal of the Mechanics and Physics of Solids, 43, 1–48.

    Article  MathSciNet  Google Scholar 

  2. Sammonds, P. R., Ayling, M. R., Meredith, P. G., Murrell, S. A. F., Jones, C. (1989). A laboratory investigation of acoustic emission and elastic wave velocity changes during rock failure under triaxial stresses. In ISRM International Symposium, 30 August-2 September, Pau, France, International Society for Rock Mechanics and Rock Engineering, ISRM-IS-1989-030.

    Google Scholar 

  3. Tvergaard, V., & Needleman, A. (1993). An analysis of the brittle-ductile transition in dynamic crack growth. International Journal of Fracture, 59, 53–67.

    Article  Google Scholar 

  4. Mishuris, G. S., Movchan, A. B., & Slepyan, L. I. (2009). Localised knife waves in a structured interface. Journal of the Mechanics and Physics of Solids, 57, 1958–1979.

    Article  MathSciNet  Google Scholar 

  5. Slepyan, L. I., Mishuris, G. S., & Movchan, A. B. (2010). Crack in a lattice waveguide. International Journal of Fracture, 162, 91–106.

    Article  Google Scholar 

  6. Nieves, M. J., Mishuris, G. S., & Slepyan, L. I. (2016). Analysis of dynamic damage propagation in discrete beam structures. The International Journal of Solids and Structures, 97–98, 699–713.

    Article  Google Scholar 

  7. Nieves, M. J., Mishuris, G. S., & Slepyan, L. I. (2016). Transient wave in a transformable periodic flexural structure. The International Journal of Solids and Structures, 112, 185–208.

    Article  Google Scholar 

  8. Garau, M., Nieves, M. J., & Jones, I. S. (2019). Alternating strain regimes for failure propagation in flexural systems. The Quarterly Journal of Mechanics and Applied Mathematics, 72, 305–339.

    Article  MathSciNet  Google Scholar 

  9. Slepyan, L., Ayzenberg-Stepanenko, M., & Mishuris, G. (2015). Forerunning mode transition in a continuous waveguide. Journal of the Mechanics and Physics of Solids, 78, 32–45.

    Article  MathSciNet  Google Scholar 

  10. Mishuris, G. S., Movchan, A. B., & Slepyan, L. I. (2008). Dynamics of a bridged crack in a discrete lattice. The Quarterly Journal of Mechanics and Applied Mathematics, 61, 151–160.

    Article  MathSciNet  Google Scholar 

  11. Araujo, M. S., Vieira, A. P., Andrade, J. S., & Herrmann, H. J. (2016). Mesoscopic approach to subcritical fatigue crack growth. Physical Review E, 94(4), 043003.

    Google Scholar 

  12. Milanese, E., Yılmaz, O., Molinari, J.-F., & Schrefler, B. (2016). Avalanches in dry and saturated disordered media at fracture. Physical Review E, 93, 043002.

    Google Scholar 

  13. Biot, M. A. (1956). Theory of propagation of elastic waves in a fluid-saturated porous solid, part I-low-frequency range. The Journal of the Acoustical Society of America, 28, 168–178.

    Article  Google Scholar 

  14. Peruzzo, C., Simoni, L., & Schrefler, B. A. (2019). On stepwise advancement of fractures and pressure oscillations in saturated porous media. Engineering Fracture Mechanics, 215, 246–250.

    Article  Google Scholar 

  15. Ni, T., Pesavento, F., Zaccariotto, M., Galvanetto, U., Schrefler , B. A. Numerical simulation of forerunning fracture in saturated porous solids with hybrid FEM/Peridynamic model (Computers and Geotechnics, published online https://doi.org/10.1016/j.compgeo.2021.104024).

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Correspondence to Bernhard A. Schrefler .

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Milanese, E. et al. (2022). Forerunning and Bridging in Dry and Saturated Fracturing Solids. In: Aldakheel, F., Hudobivnik, B., Soleimani, M., Wessels, H., Weißenfels, C., Marino, M. (eds) Current Trends and Open Problems in Computational Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-030-87312-7_33

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  • DOI: https://doi.org/10.1007/978-3-030-87312-7_33

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-030-87312-7

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